151680758461440 has 1408 divisors, whose sum is σ = 580346784460800. Its totient is φ = 33451938938880.

The previous prime is 151680758461439. The next prime is 151680758461549. The reversal of 151680758461440 is 44164857086151.

151680758461440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7766144475 + ... + 7766164005.

Almost surely, 2^{151680758461440} is an apocalyptic number.

151680758461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151680758461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290173392230400).

151680758461440 is an abundant number, since it is smaller than the sum of its proper divisors (428666025999360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151680758461440 is a wasteful number, since it uses less digits than its factorization.

151680758461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19703 (or 19685 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 60.

The spelling of 151680758461440 in words is "one hundred fifty-one trillion, six hundred eighty billion, seven hundred fifty-eight million, four hundred sixty-one thousand, four hundred forty".